Why is there no set path that a scientific inquiry must follow

There is no set path that a scientific inquiry must follow. This is because every scientific inquiry will ask a different question, and will look for a different type of answer. Therefore, each inquiry will require a different method for finding out what we are looking for. Nevertheless, although the specific path we follow might vary, all scientific inquiries must adhere to the scientific method in order to be scientifically valid.

4(3x2y4)3/(2x3y5)4

Final result :

   27

 —————

 4x6y8

Step by step solution :

Step  1  :

Equation at the end of step  1  :

   (((3•(x2))•(y4))3)

 4•——————————————————

     ((2x3•(y5))4)  

Step  2  :

Equation at the end of step  2  :

     ((3x2 • (y4))3)

 4 • ———————————————

        24x12y20    

Step  3  :

            33x6y12

Simplify   ————————

           24x12y20

Dividing exponential expressions :

3.1    x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2    y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step  3  :

       27  

 4 • ——————

     16x6y8

Step  4  :

Final result :

   27

 —————

 4x6y8